Except Linux only took off thanks to those that didn't want to pay for UNIX, and the UNIX vendors that wanted to cut down R&D costs from their own in-house UNIX clones, and were uncertain if BSD was still safe to use with the ongoing AT&T lawsuit.
Re the last part: USL vs BSDi was filed in 1992 and settled in 1994, long before any sizeable vendor paid attention to Linux. (Version 1.0 of the Linux kernel was released at about the same time that lawsuit was settled.) So you shouldn't use that argument as part of your rationale.
You do not believe that what happened from 1991 to 1995 explains anything about how we got here?
Red Hat was founded in 1993. When do you think they got the idea? When do you think companies like Red Hat decided to bet on Linux instead of BSD? Debian was founded in 1993 as well. When was that lawsuit settled again?
An awful lot of the Linux momentum that carries us to this very day appeared after the BSD lawsuit was filed and before it was settled.
What about the other “big and professional” competitor to Linux?
GNU HURD was started in 1990. The original plan was to base it off the BSD kernel. The Linux kernel appeared in 1991. BSD fell under legal threat in 1992. Debian appeared in 1993. RMS lost interest in HURD. None of these dates had much impact you don’t think?